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Finding the Fourth Proportional to 107,149.52, 147,863.08 and 59,400

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Solution

The fourth proportional to 107,149.52, 147,863.08 and 59,400 is: 81,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,149.52 : 147,863.08 = 59,400 : x
  2. Step 2: Convert to fraction form
    107,149.52/147,863.08 = 59,400/x
  3. Step 3: Cross multiply
    107,149.52x = 147,863.08 × 59,400
  4. Step 4: Simplify right side
    107,149.52x = 8,783,066,952
  5. Step 5: Solve for x
    x = 8,783,066,952/107,149.52
  6. Step 6: Final answer
    x = 81,970.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.